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Finding the Fourth Proportional to 655.27, 982.83 and 411.05

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Solution

The fourth proportional to 655.27, 982.83 and 411.05 is: 616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.27 : 982.83 = 411.05 : x
  2. Step 2: Convert to fraction form
    655.27/982.83 = 411.05/x
  3. Step 3: Cross multiply
    655.27x = 982.83 × 411.05
  4. Step 4: Simplify right side
    655.27x = 403,992.27
  5. Step 5: Solve for x
    x = 403,992.27/655.27
  6. Step 6: Final answer
    x = 616.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.